Search a number
-
+
6414465148 = 2272135774363
BaseRepresentation
bin1011111100101010…
…01111100001111100
3121120000221120222021
411332111033201330
5101114100341043
62540300125524
7314646024400
oct57625174174
917500846867
106414465148
1127a1886673
1212b02368a4
137b2c03410
1444bc9b100
152782073ed
hex17e54f87c

6414465148 has 72 divisors (see below), whose sum is σ = 14090081712. Its totient is φ = 2532612096.

The previous prime is 6414465131. The next prime is 6414465149. The reversal of 6414465148 is 8415644146.

It is a super-2 number, since 2×64144651482 = 82290726269813323808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6414465149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1468015 + ... + 1472377.

Almost surely, 26414465148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414465148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045040856).

6414465148 is an abundant number, since it is smaller than the sum of its proper divisors (7675616564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6414465148 is a wasteful number, since it uses less digits than its factorization.

6414465148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4962 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 6414465148 is about 80090.3561485401. The cubic root of 6414465148 is about 1858.0332573843.

The spelling of 6414465148 in words is "six billion, four hundred fourteen million, four hundred sixty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 577 637 1154 1274 2308 2548 4039 4363 7501 8078 8726 15002 16156 17452 28273 30004 30541 52507 56546 56719 61082 105014 113092 113438 122164 210028 213787 226876 367549 397033 427574 735098 794066 855148 1470196 1588132 2517451 2779231 5034902 5558462 10069804 11116924 17622157 32726863 35244314 65453726 70488628 123355099 130907452 229088041 246710198 458176082 493420396 916352164 1603616287 3207232574 6414465148